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Finding the Fourth Proportional to 6.52, 9.74 and 5.19

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Solution

The fourth proportional to 6.52, 9.74 and 5.19 is: 7.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.52 : 9.74 = 5.19 : x
  2. Step 2: Convert to fraction form
    6.52/9.74 = 5.19/x
  3. Step 3: Cross multiply
    6.52x = 9.74 × 5.19
  4. Step 4: Simplify right side
    6.52x = 50.50
  5. Step 5: Solve for x
    x = 50.50/6.52
  6. Step 6: Final answer
    x = 7.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.